Fast search method for initial approximation of straight tracks of the wire and strip detector

For detectors with sensitive elements in the form of straight line segments, i.e. for wire detectors, drift tubes, silicon strip detectors, etc., there is a task to find straight tracks for triggered items (tracking). Due to the large number of tracks as well as elements of the detectors in modern experiments, the number of combinations of selected sensitive elements can be very large. It turns out that if the number of sensitive elements of the detector is chosen equal to four, then under some conditions there is a straight line which strictly crosses all the selected four elements (four overlapping straight lines). The proposed 'method of four straight lines' can be used, in particular, for rapid determination of initial approximation and/or selection of items which belong to a straight track. The method has been successfully used at the facility HADES, GSI.